https://github.com/mit-plv/fiat-crypto
Tip revision: 0b1ebe16c40ae1bb3a37ee4b09a88ac177df1dc7 authored by Jason Gross on 28 June 2021, 17:28:42 UTC
Fix perf.csv generation
Fix perf.csv generation
Tip revision: 0b1ebe1
secp256k1_64.c
/* Autogenerated */
/* curve description: secp256k1 */
/* requested operations: (all) */
/* m = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f (from "2^256 - 2^32 - 977") */
/* machine_wordsize = 64 (from "64") */
/* */
/* NOTE: In addition to the bounds specified above each function, all */
/* functions synthesized for this Montgomery arithmetic require the */
/* input to be strictly less than the prime modulus (m), and also */
/* require the input to be in the unique saturated representation. */
/* All functions also ensure that these two properties are true of */
/* return values. */
#include <stdint.h>
typedef unsigned char fiat_secp256k1_uint1;
typedef signed char fiat_secp256k1_int1;
typedef signed __int128 fiat_secp256k1_int128;
typedef unsigned __int128 fiat_secp256k1_uint128;
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
/*
* The function fiat_secp256k1_addcarryx_u64 is an addition with carry.
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^64
* out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_secp256k1_addcarryx_u64(uint64_t* out1, fiat_secp256k1_uint1* out2, fiat_secp256k1_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_secp256k1_uint128 x1 = ((arg1 + (fiat_secp256k1_uint128)arg2) + arg3);
uint64_t x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
fiat_secp256k1_uint1 x3 = (fiat_secp256k1_uint1)(x1 >> 64);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_secp256k1_subborrowx_u64 is a subtraction with borrow.
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^64
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_secp256k1_subborrowx_u64(uint64_t* out1, fiat_secp256k1_uint1* out2, fiat_secp256k1_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_secp256k1_int128 x1 = ((arg2 - (fiat_secp256k1_int128)arg1) - arg3);
fiat_secp256k1_int1 x2 = (fiat_secp256k1_int1)(x1 >> 64);
uint64_t x3 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
*out1 = x3;
*out2 = (fiat_secp256k1_uint1)(0x0 - x2);
}
/*
* The function fiat_secp256k1_mulx_u64 is a multiplication, returning the full double-width result.
* Postconditions:
* out1 = (arg1 * arg2) mod 2^64
* out2 = ⌊arg1 * arg2 / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0xffffffffffffffff]
* arg2: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0xffffffffffffffff]
*/
static void fiat_secp256k1_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) {
fiat_secp256k1_uint128 x1 = ((fiat_secp256k1_uint128)arg1 * arg2);
uint64_t x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
uint64_t x3 = (uint64_t)(x1 >> 64);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_secp256k1_cmovznz_u64 is a single-word conditional move.
* Postconditions:
* out1 = (if arg1 = 0 then arg2 else arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
*/
static void fiat_secp256k1_cmovznz_u64(uint64_t* out1, fiat_secp256k1_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_secp256k1_uint1 x1 = (!(!arg1));
uint64_t x2 = ((fiat_secp256k1_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
uint64_t x3 = ((x2 & arg3) | ((~x2) & arg2));
*out1 = x3;
}
/*
* The function fiat_secp256k1_mul multiplies two field elements in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_mul(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
uint64_t x1 = (arg1[1]);
uint64_t x2 = (arg1[2]);
uint64_t x3 = (arg1[3]);
uint64_t x4 = (arg1[0]);
uint64_t x5;
uint64_t x6;
fiat_secp256k1_mulx_u64(&x5, &x6, x4, (arg2[3]));
uint64_t x7;
uint64_t x8;
fiat_secp256k1_mulx_u64(&x7, &x8, x4, (arg2[2]));
uint64_t x9;
uint64_t x10;
fiat_secp256k1_mulx_u64(&x9, &x10, x4, (arg2[1]));
uint64_t x11;
uint64_t x12;
fiat_secp256k1_mulx_u64(&x11, &x12, x4, (arg2[0]));
uint64_t x13;
fiat_secp256k1_uint1 x14;
fiat_secp256k1_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
uint64_t x15;
fiat_secp256k1_uint1 x16;
fiat_secp256k1_addcarryx_u64(&x15, &x16, x14, x10, x7);
uint64_t x17;
fiat_secp256k1_uint1 x18;
fiat_secp256k1_addcarryx_u64(&x17, &x18, x16, x8, x5);
uint64_t x19;
fiat_secp256k1_uint1 x20;
fiat_secp256k1_addcarryx_u64(&x19, &x20, x18, x6, 0x0);
uint64_t x21;
uint64_t x22;
fiat_secp256k1_mulx_u64(&x21, &x22, x11, UINT64_C(0xd838091dd2253531));
uint64_t x23;
uint64_t x24;
fiat_secp256k1_mulx_u64(&x23, &x24, x21, UINT64_C(0xffffffffffffffff));
uint64_t x25;
uint64_t x26;
fiat_secp256k1_mulx_u64(&x25, &x26, x21, UINT64_C(0xffffffffffffffff));
uint64_t x27;
uint64_t x28;
fiat_secp256k1_mulx_u64(&x27, &x28, x21, UINT64_C(0xffffffffffffffff));
uint64_t x29;
uint64_t x30;
fiat_secp256k1_mulx_u64(&x29, &x30, x21, UINT64_C(0xfffffffefffffc2f));
uint64_t x31;
fiat_secp256k1_uint1 x32;
fiat_secp256k1_addcarryx_u64(&x31, &x32, 0x0, x30, x27);
uint64_t x33;
fiat_secp256k1_uint1 x34;
fiat_secp256k1_addcarryx_u64(&x33, &x34, x32, x28, x25);
uint64_t x35;
fiat_secp256k1_uint1 x36;
fiat_secp256k1_addcarryx_u64(&x35, &x36, x34, x26, x23);
uint64_t x37;
fiat_secp256k1_uint1 x38;
fiat_secp256k1_addcarryx_u64(&x37, &x38, x36, x24, 0x0);
uint64_t x39;
fiat_secp256k1_uint1 x40;
fiat_secp256k1_addcarryx_u64(&x39, &x40, 0x0, x11, x29);
uint64_t x41;
fiat_secp256k1_uint1 x42;
fiat_secp256k1_addcarryx_u64(&x41, &x42, x40, x13, x31);
uint64_t x43;
fiat_secp256k1_uint1 x44;
fiat_secp256k1_addcarryx_u64(&x43, &x44, x42, x15, x33);
uint64_t x45;
fiat_secp256k1_uint1 x46;
fiat_secp256k1_addcarryx_u64(&x45, &x46, x44, x17, x35);
uint64_t x47;
fiat_secp256k1_uint1 x48;
fiat_secp256k1_addcarryx_u64(&x47, &x48, x46, x19, x37);
uint64_t x49;
fiat_secp256k1_uint1 x50;
fiat_secp256k1_addcarryx_u64(&x49, &x50, x48, 0x0, 0x0);
uint64_t x51;
uint64_t x52;
fiat_secp256k1_mulx_u64(&x51, &x52, x1, (arg2[3]));
uint64_t x53;
uint64_t x54;
fiat_secp256k1_mulx_u64(&x53, &x54, x1, (arg2[2]));
uint64_t x55;
uint64_t x56;
fiat_secp256k1_mulx_u64(&x55, &x56, x1, (arg2[1]));
uint64_t x57;
uint64_t x58;
fiat_secp256k1_mulx_u64(&x57, &x58, x1, (arg2[0]));
uint64_t x59;
fiat_secp256k1_uint1 x60;
fiat_secp256k1_addcarryx_u64(&x59, &x60, 0x0, x58, x55);
uint64_t x61;
fiat_secp256k1_uint1 x62;
fiat_secp256k1_addcarryx_u64(&x61, &x62, x60, x56, x53);
uint64_t x63;
fiat_secp256k1_uint1 x64;
fiat_secp256k1_addcarryx_u64(&x63, &x64, x62, x54, x51);
uint64_t x65;
fiat_secp256k1_uint1 x66;
fiat_secp256k1_addcarryx_u64(&x65, &x66, x64, x52, 0x0);
uint64_t x67;
fiat_secp256k1_uint1 x68;
fiat_secp256k1_addcarryx_u64(&x67, &x68, 0x0, x41, x57);
uint64_t x69;
fiat_secp256k1_uint1 x70;
fiat_secp256k1_addcarryx_u64(&x69, &x70, x68, x43, x59);
uint64_t x71;
fiat_secp256k1_uint1 x72;
fiat_secp256k1_addcarryx_u64(&x71, &x72, x70, x45, x61);
uint64_t x73;
fiat_secp256k1_uint1 x74;
fiat_secp256k1_addcarryx_u64(&x73, &x74, x72, x47, x63);
uint64_t x75;
fiat_secp256k1_uint1 x76;
fiat_secp256k1_addcarryx_u64(&x75, &x76, x74, (fiat_secp256k1_uint1)x49, x65);
uint64_t x77;
uint64_t x78;
fiat_secp256k1_mulx_u64(&x77, &x78, x67, UINT64_C(0xd838091dd2253531));
uint64_t x79;
uint64_t x80;
fiat_secp256k1_mulx_u64(&x79, &x80, x77, UINT64_C(0xffffffffffffffff));
uint64_t x81;
uint64_t x82;
fiat_secp256k1_mulx_u64(&x81, &x82, x77, UINT64_C(0xffffffffffffffff));
uint64_t x83;
uint64_t x84;
fiat_secp256k1_mulx_u64(&x83, &x84, x77, UINT64_C(0xffffffffffffffff));
uint64_t x85;
uint64_t x86;
fiat_secp256k1_mulx_u64(&x85, &x86, x77, UINT64_C(0xfffffffefffffc2f));
uint64_t x87;
fiat_secp256k1_uint1 x88;
fiat_secp256k1_addcarryx_u64(&x87, &x88, 0x0, x86, x83);
uint64_t x89;
fiat_secp256k1_uint1 x90;
fiat_secp256k1_addcarryx_u64(&x89, &x90, x88, x84, x81);
uint64_t x91;
fiat_secp256k1_uint1 x92;
fiat_secp256k1_addcarryx_u64(&x91, &x92, x90, x82, x79);
uint64_t x93;
fiat_secp256k1_uint1 x94;
fiat_secp256k1_addcarryx_u64(&x93, &x94, x92, x80, 0x0);
uint64_t x95;
fiat_secp256k1_uint1 x96;
fiat_secp256k1_addcarryx_u64(&x95, &x96, 0x0, x67, x85);
uint64_t x97;
fiat_secp256k1_uint1 x98;
fiat_secp256k1_addcarryx_u64(&x97, &x98, x96, x69, x87);
uint64_t x99;
fiat_secp256k1_uint1 x100;
fiat_secp256k1_addcarryx_u64(&x99, &x100, x98, x71, x89);
uint64_t x101;
fiat_secp256k1_uint1 x102;
fiat_secp256k1_addcarryx_u64(&x101, &x102, x100, x73, x91);
uint64_t x103;
fiat_secp256k1_uint1 x104;
fiat_secp256k1_addcarryx_u64(&x103, &x104, x102, x75, x93);
uint64_t x105;
fiat_secp256k1_uint1 x106;
fiat_secp256k1_addcarryx_u64(&x105, &x106, x104, x76, 0x0);
uint64_t x107;
uint64_t x108;
fiat_secp256k1_mulx_u64(&x107, &x108, x2, (arg2[3]));
uint64_t x109;
uint64_t x110;
fiat_secp256k1_mulx_u64(&x109, &x110, x2, (arg2[2]));
uint64_t x111;
uint64_t x112;
fiat_secp256k1_mulx_u64(&x111, &x112, x2, (arg2[1]));
uint64_t x113;
uint64_t x114;
fiat_secp256k1_mulx_u64(&x113, &x114, x2, (arg2[0]));
uint64_t x115;
fiat_secp256k1_uint1 x116;
fiat_secp256k1_addcarryx_u64(&x115, &x116, 0x0, x114, x111);
uint64_t x117;
fiat_secp256k1_uint1 x118;
fiat_secp256k1_addcarryx_u64(&x117, &x118, x116, x112, x109);
uint64_t x119;
fiat_secp256k1_uint1 x120;
fiat_secp256k1_addcarryx_u64(&x119, &x120, x118, x110, x107);
uint64_t x121;
fiat_secp256k1_uint1 x122;
fiat_secp256k1_addcarryx_u64(&x121, &x122, x120, x108, 0x0);
uint64_t x123;
fiat_secp256k1_uint1 x124;
fiat_secp256k1_addcarryx_u64(&x123, &x124, 0x0, x97, x113);
uint64_t x125;
fiat_secp256k1_uint1 x126;
fiat_secp256k1_addcarryx_u64(&x125, &x126, x124, x99, x115);
uint64_t x127;
fiat_secp256k1_uint1 x128;
fiat_secp256k1_addcarryx_u64(&x127, &x128, x126, x101, x117);
uint64_t x129;
fiat_secp256k1_uint1 x130;
fiat_secp256k1_addcarryx_u64(&x129, &x130, x128, x103, x119);
uint64_t x131;
fiat_secp256k1_uint1 x132;
fiat_secp256k1_addcarryx_u64(&x131, &x132, x130, x105, x121);
uint64_t x133;
uint64_t x134;
fiat_secp256k1_mulx_u64(&x133, &x134, x123, UINT64_C(0xd838091dd2253531));
uint64_t x135;
uint64_t x136;
fiat_secp256k1_mulx_u64(&x135, &x136, x133, UINT64_C(0xffffffffffffffff));
uint64_t x137;
uint64_t x138;
fiat_secp256k1_mulx_u64(&x137, &x138, x133, UINT64_C(0xffffffffffffffff));
uint64_t x139;
uint64_t x140;
fiat_secp256k1_mulx_u64(&x139, &x140, x133, UINT64_C(0xffffffffffffffff));
uint64_t x141;
uint64_t x142;
fiat_secp256k1_mulx_u64(&x141, &x142, x133, UINT64_C(0xfffffffefffffc2f));
uint64_t x143;
fiat_secp256k1_uint1 x144;
fiat_secp256k1_addcarryx_u64(&x143, &x144, 0x0, x142, x139);
uint64_t x145;
fiat_secp256k1_uint1 x146;
fiat_secp256k1_addcarryx_u64(&x145, &x146, x144, x140, x137);
uint64_t x147;
fiat_secp256k1_uint1 x148;
fiat_secp256k1_addcarryx_u64(&x147, &x148, x146, x138, x135);
uint64_t x149;
fiat_secp256k1_uint1 x150;
fiat_secp256k1_addcarryx_u64(&x149, &x150, x148, x136, 0x0);
uint64_t x151;
fiat_secp256k1_uint1 x152;
fiat_secp256k1_addcarryx_u64(&x151, &x152, 0x0, x123, x141);
uint64_t x153;
fiat_secp256k1_uint1 x154;
fiat_secp256k1_addcarryx_u64(&x153, &x154, x152, x125, x143);
uint64_t x155;
fiat_secp256k1_uint1 x156;
fiat_secp256k1_addcarryx_u64(&x155, &x156, x154, x127, x145);
uint64_t x157;
fiat_secp256k1_uint1 x158;
fiat_secp256k1_addcarryx_u64(&x157, &x158, x156, x129, x147);
uint64_t x159;
fiat_secp256k1_uint1 x160;
fiat_secp256k1_addcarryx_u64(&x159, &x160, x158, x131, x149);
uint64_t x161;
fiat_secp256k1_uint1 x162;
fiat_secp256k1_addcarryx_u64(&x161, &x162, x160, x132, 0x0);
uint64_t x163;
uint64_t x164;
fiat_secp256k1_mulx_u64(&x163, &x164, x3, (arg2[3]));
uint64_t x165;
uint64_t x166;
fiat_secp256k1_mulx_u64(&x165, &x166, x3, (arg2[2]));
uint64_t x167;
uint64_t x168;
fiat_secp256k1_mulx_u64(&x167, &x168, x3, (arg2[1]));
uint64_t x169;
uint64_t x170;
fiat_secp256k1_mulx_u64(&x169, &x170, x3, (arg2[0]));
uint64_t x171;
fiat_secp256k1_uint1 x172;
fiat_secp256k1_addcarryx_u64(&x171, &x172, 0x0, x170, x167);
uint64_t x173;
fiat_secp256k1_uint1 x174;
fiat_secp256k1_addcarryx_u64(&x173, &x174, x172, x168, x165);
uint64_t x175;
fiat_secp256k1_uint1 x176;
fiat_secp256k1_addcarryx_u64(&x175, &x176, x174, x166, x163);
uint64_t x177;
fiat_secp256k1_uint1 x178;
fiat_secp256k1_addcarryx_u64(&x177, &x178, x176, x164, 0x0);
uint64_t x179;
fiat_secp256k1_uint1 x180;
fiat_secp256k1_addcarryx_u64(&x179, &x180, 0x0, x153, x169);
uint64_t x181;
fiat_secp256k1_uint1 x182;
fiat_secp256k1_addcarryx_u64(&x181, &x182, x180, x155, x171);
uint64_t x183;
fiat_secp256k1_uint1 x184;
fiat_secp256k1_addcarryx_u64(&x183, &x184, x182, x157, x173);
uint64_t x185;
fiat_secp256k1_uint1 x186;
fiat_secp256k1_addcarryx_u64(&x185, &x186, x184, x159, x175);
uint64_t x187;
fiat_secp256k1_uint1 x188;
fiat_secp256k1_addcarryx_u64(&x187, &x188, x186, x161, x177);
uint64_t x189;
uint64_t x190;
fiat_secp256k1_mulx_u64(&x189, &x190, x179, UINT64_C(0xd838091dd2253531));
uint64_t x191;
uint64_t x192;
fiat_secp256k1_mulx_u64(&x191, &x192, x189, UINT64_C(0xffffffffffffffff));
uint64_t x193;
uint64_t x194;
fiat_secp256k1_mulx_u64(&x193, &x194, x189, UINT64_C(0xffffffffffffffff));
uint64_t x195;
uint64_t x196;
fiat_secp256k1_mulx_u64(&x195, &x196, x189, UINT64_C(0xffffffffffffffff));
uint64_t x197;
uint64_t x198;
fiat_secp256k1_mulx_u64(&x197, &x198, x189, UINT64_C(0xfffffffefffffc2f));
uint64_t x199;
fiat_secp256k1_uint1 x200;
fiat_secp256k1_addcarryx_u64(&x199, &x200, 0x0, x198, x195);
uint64_t x201;
fiat_secp256k1_uint1 x202;
fiat_secp256k1_addcarryx_u64(&x201, &x202, x200, x196, x193);
uint64_t x203;
fiat_secp256k1_uint1 x204;
fiat_secp256k1_addcarryx_u64(&x203, &x204, x202, x194, x191);
uint64_t x205;
fiat_secp256k1_uint1 x206;
fiat_secp256k1_addcarryx_u64(&x205, &x206, x204, x192, 0x0);
uint64_t x207;
fiat_secp256k1_uint1 x208;
fiat_secp256k1_addcarryx_u64(&x207, &x208, 0x0, x179, x197);
uint64_t x209;
fiat_secp256k1_uint1 x210;
fiat_secp256k1_addcarryx_u64(&x209, &x210, x208, x181, x199);
uint64_t x211;
fiat_secp256k1_uint1 x212;
fiat_secp256k1_addcarryx_u64(&x211, &x212, x210, x183, x201);
uint64_t x213;
fiat_secp256k1_uint1 x214;
fiat_secp256k1_addcarryx_u64(&x213, &x214, x212, x185, x203);
uint64_t x215;
fiat_secp256k1_uint1 x216;
fiat_secp256k1_addcarryx_u64(&x215, &x216, x214, x187, x205);
uint64_t x217;
fiat_secp256k1_uint1 x218;
fiat_secp256k1_addcarryx_u64(&x217, &x218, x216, x188, 0x0);
uint64_t x219;
fiat_secp256k1_uint1 x220;
fiat_secp256k1_subborrowx_u64(&x219, &x220, 0x0, x209, UINT64_C(0xfffffffefffffc2f));
uint64_t x221;
fiat_secp256k1_uint1 x222;
fiat_secp256k1_subborrowx_u64(&x221, &x222, x220, x211, UINT64_C(0xffffffffffffffff));
uint64_t x223;
fiat_secp256k1_uint1 x224;
fiat_secp256k1_subborrowx_u64(&x223, &x224, x222, x213, UINT64_C(0xffffffffffffffff));
uint64_t x225;
fiat_secp256k1_uint1 x226;
fiat_secp256k1_subborrowx_u64(&x225, &x226, x224, x215, UINT64_C(0xffffffffffffffff));
uint64_t x227;
fiat_secp256k1_uint1 x228;
fiat_secp256k1_subborrowx_u64(&x227, &x228, x226, x217, 0x0);
uint64_t x229;
fiat_secp256k1_cmovznz_u64(&x229, x228, x219, x209);
uint64_t x230;
fiat_secp256k1_cmovznz_u64(&x230, x228, x221, x211);
uint64_t x231;
fiat_secp256k1_cmovznz_u64(&x231, x228, x223, x213);
uint64_t x232;
fiat_secp256k1_cmovznz_u64(&x232, x228, x225, x215);
out1[0] = x229;
out1[1] = x230;
out1[2] = x231;
out1[3] = x232;
}
/*
* The function fiat_secp256k1_square squares a field element in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_square(uint64_t out1[4], const uint64_t arg1[4]) {
uint64_t x1 = (arg1[1]);
uint64_t x2 = (arg1[2]);
uint64_t x3 = (arg1[3]);
uint64_t x4 = (arg1[0]);
uint64_t x5;
uint64_t x6;
fiat_secp256k1_mulx_u64(&x5, &x6, x4, (arg1[3]));
uint64_t x7;
uint64_t x8;
fiat_secp256k1_mulx_u64(&x7, &x8, x4, (arg1[2]));
uint64_t x9;
uint64_t x10;
fiat_secp256k1_mulx_u64(&x9, &x10, x4, (arg1[1]));
uint64_t x11;
uint64_t x12;
fiat_secp256k1_mulx_u64(&x11, &x12, x4, (arg1[0]));
uint64_t x13;
fiat_secp256k1_uint1 x14;
fiat_secp256k1_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
uint64_t x15;
fiat_secp256k1_uint1 x16;
fiat_secp256k1_addcarryx_u64(&x15, &x16, x14, x10, x7);
uint64_t x17;
fiat_secp256k1_uint1 x18;
fiat_secp256k1_addcarryx_u64(&x17, &x18, x16, x8, x5);
uint64_t x19;
fiat_secp256k1_uint1 x20;
fiat_secp256k1_addcarryx_u64(&x19, &x20, x18, x6, 0x0);
uint64_t x21;
uint64_t x22;
fiat_secp256k1_mulx_u64(&x21, &x22, x11, UINT64_C(0xd838091dd2253531));
uint64_t x23;
uint64_t x24;
fiat_secp256k1_mulx_u64(&x23, &x24, x21, UINT64_C(0xffffffffffffffff));
uint64_t x25;
uint64_t x26;
fiat_secp256k1_mulx_u64(&x25, &x26, x21, UINT64_C(0xffffffffffffffff));
uint64_t x27;
uint64_t x28;
fiat_secp256k1_mulx_u64(&x27, &x28, x21, UINT64_C(0xffffffffffffffff));
uint64_t x29;
uint64_t x30;
fiat_secp256k1_mulx_u64(&x29, &x30, x21, UINT64_C(0xfffffffefffffc2f));
uint64_t x31;
fiat_secp256k1_uint1 x32;
fiat_secp256k1_addcarryx_u64(&x31, &x32, 0x0, x30, x27);
uint64_t x33;
fiat_secp256k1_uint1 x34;
fiat_secp256k1_addcarryx_u64(&x33, &x34, x32, x28, x25);
uint64_t x35;
fiat_secp256k1_uint1 x36;
fiat_secp256k1_addcarryx_u64(&x35, &x36, x34, x26, x23);
uint64_t x37;
fiat_secp256k1_uint1 x38;
fiat_secp256k1_addcarryx_u64(&x37, &x38, x36, x24, 0x0);
uint64_t x39;
fiat_secp256k1_uint1 x40;
fiat_secp256k1_addcarryx_u64(&x39, &x40, 0x0, x11, x29);
uint64_t x41;
fiat_secp256k1_uint1 x42;
fiat_secp256k1_addcarryx_u64(&x41, &x42, x40, x13, x31);
uint64_t x43;
fiat_secp256k1_uint1 x44;
fiat_secp256k1_addcarryx_u64(&x43, &x44, x42, x15, x33);
uint64_t x45;
fiat_secp256k1_uint1 x46;
fiat_secp256k1_addcarryx_u64(&x45, &x46, x44, x17, x35);
uint64_t x47;
fiat_secp256k1_uint1 x48;
fiat_secp256k1_addcarryx_u64(&x47, &x48, x46, x19, x37);
uint64_t x49;
fiat_secp256k1_uint1 x50;
fiat_secp256k1_addcarryx_u64(&x49, &x50, x48, 0x0, 0x0);
uint64_t x51;
uint64_t x52;
fiat_secp256k1_mulx_u64(&x51, &x52, x1, (arg1[3]));
uint64_t x53;
uint64_t x54;
fiat_secp256k1_mulx_u64(&x53, &x54, x1, (arg1[2]));
uint64_t x55;
uint64_t x56;
fiat_secp256k1_mulx_u64(&x55, &x56, x1, (arg1[1]));
uint64_t x57;
uint64_t x58;
fiat_secp256k1_mulx_u64(&x57, &x58, x1, (arg1[0]));
uint64_t x59;
fiat_secp256k1_uint1 x60;
fiat_secp256k1_addcarryx_u64(&x59, &x60, 0x0, x58, x55);
uint64_t x61;
fiat_secp256k1_uint1 x62;
fiat_secp256k1_addcarryx_u64(&x61, &x62, x60, x56, x53);
uint64_t x63;
fiat_secp256k1_uint1 x64;
fiat_secp256k1_addcarryx_u64(&x63, &x64, x62, x54, x51);
uint64_t x65;
fiat_secp256k1_uint1 x66;
fiat_secp256k1_addcarryx_u64(&x65, &x66, x64, x52, 0x0);
uint64_t x67;
fiat_secp256k1_uint1 x68;
fiat_secp256k1_addcarryx_u64(&x67, &x68, 0x0, x41, x57);
uint64_t x69;
fiat_secp256k1_uint1 x70;
fiat_secp256k1_addcarryx_u64(&x69, &x70, x68, x43, x59);
uint64_t x71;
fiat_secp256k1_uint1 x72;
fiat_secp256k1_addcarryx_u64(&x71, &x72, x70, x45, x61);
uint64_t x73;
fiat_secp256k1_uint1 x74;
fiat_secp256k1_addcarryx_u64(&x73, &x74, x72, x47, x63);
uint64_t x75;
fiat_secp256k1_uint1 x76;
fiat_secp256k1_addcarryx_u64(&x75, &x76, x74, (fiat_secp256k1_uint1)x49, x65);
uint64_t x77;
uint64_t x78;
fiat_secp256k1_mulx_u64(&x77, &x78, x67, UINT64_C(0xd838091dd2253531));
uint64_t x79;
uint64_t x80;
fiat_secp256k1_mulx_u64(&x79, &x80, x77, UINT64_C(0xffffffffffffffff));
uint64_t x81;
uint64_t x82;
fiat_secp256k1_mulx_u64(&x81, &x82, x77, UINT64_C(0xffffffffffffffff));
uint64_t x83;
uint64_t x84;
fiat_secp256k1_mulx_u64(&x83, &x84, x77, UINT64_C(0xffffffffffffffff));
uint64_t x85;
uint64_t x86;
fiat_secp256k1_mulx_u64(&x85, &x86, x77, UINT64_C(0xfffffffefffffc2f));
uint64_t x87;
fiat_secp256k1_uint1 x88;
fiat_secp256k1_addcarryx_u64(&x87, &x88, 0x0, x86, x83);
uint64_t x89;
fiat_secp256k1_uint1 x90;
fiat_secp256k1_addcarryx_u64(&x89, &x90, x88, x84, x81);
uint64_t x91;
fiat_secp256k1_uint1 x92;
fiat_secp256k1_addcarryx_u64(&x91, &x92, x90, x82, x79);
uint64_t x93;
fiat_secp256k1_uint1 x94;
fiat_secp256k1_addcarryx_u64(&x93, &x94, x92, x80, 0x0);
uint64_t x95;
fiat_secp256k1_uint1 x96;
fiat_secp256k1_addcarryx_u64(&x95, &x96, 0x0, x67, x85);
uint64_t x97;
fiat_secp256k1_uint1 x98;
fiat_secp256k1_addcarryx_u64(&x97, &x98, x96, x69, x87);
uint64_t x99;
fiat_secp256k1_uint1 x100;
fiat_secp256k1_addcarryx_u64(&x99, &x100, x98, x71, x89);
uint64_t x101;
fiat_secp256k1_uint1 x102;
fiat_secp256k1_addcarryx_u64(&x101, &x102, x100, x73, x91);
uint64_t x103;
fiat_secp256k1_uint1 x104;
fiat_secp256k1_addcarryx_u64(&x103, &x104, x102, x75, x93);
uint64_t x105;
fiat_secp256k1_uint1 x106;
fiat_secp256k1_addcarryx_u64(&x105, &x106, x104, x76, 0x0);
uint64_t x107;
uint64_t x108;
fiat_secp256k1_mulx_u64(&x107, &x108, x2, (arg1[3]));
uint64_t x109;
uint64_t x110;
fiat_secp256k1_mulx_u64(&x109, &x110, x2, (arg1[2]));
uint64_t x111;
uint64_t x112;
fiat_secp256k1_mulx_u64(&x111, &x112, x2, (arg1[1]));
uint64_t x113;
uint64_t x114;
fiat_secp256k1_mulx_u64(&x113, &x114, x2, (arg1[0]));
uint64_t x115;
fiat_secp256k1_uint1 x116;
fiat_secp256k1_addcarryx_u64(&x115, &x116, 0x0, x114, x111);
uint64_t x117;
fiat_secp256k1_uint1 x118;
fiat_secp256k1_addcarryx_u64(&x117, &x118, x116, x112, x109);
uint64_t x119;
fiat_secp256k1_uint1 x120;
fiat_secp256k1_addcarryx_u64(&x119, &x120, x118, x110, x107);
uint64_t x121;
fiat_secp256k1_uint1 x122;
fiat_secp256k1_addcarryx_u64(&x121, &x122, x120, x108, 0x0);
uint64_t x123;
fiat_secp256k1_uint1 x124;
fiat_secp256k1_addcarryx_u64(&x123, &x124, 0x0, x97, x113);
uint64_t x125;
fiat_secp256k1_uint1 x126;
fiat_secp256k1_addcarryx_u64(&x125, &x126, x124, x99, x115);
uint64_t x127;
fiat_secp256k1_uint1 x128;
fiat_secp256k1_addcarryx_u64(&x127, &x128, x126, x101, x117);
uint64_t x129;
fiat_secp256k1_uint1 x130;
fiat_secp256k1_addcarryx_u64(&x129, &x130, x128, x103, x119);
uint64_t x131;
fiat_secp256k1_uint1 x132;
fiat_secp256k1_addcarryx_u64(&x131, &x132, x130, x105, x121);
uint64_t x133;
uint64_t x134;
fiat_secp256k1_mulx_u64(&x133, &x134, x123, UINT64_C(0xd838091dd2253531));
uint64_t x135;
uint64_t x136;
fiat_secp256k1_mulx_u64(&x135, &x136, x133, UINT64_C(0xffffffffffffffff));
uint64_t x137;
uint64_t x138;
fiat_secp256k1_mulx_u64(&x137, &x138, x133, UINT64_C(0xffffffffffffffff));
uint64_t x139;
uint64_t x140;
fiat_secp256k1_mulx_u64(&x139, &x140, x133, UINT64_C(0xffffffffffffffff));
uint64_t x141;
uint64_t x142;
fiat_secp256k1_mulx_u64(&x141, &x142, x133, UINT64_C(0xfffffffefffffc2f));
uint64_t x143;
fiat_secp256k1_uint1 x144;
fiat_secp256k1_addcarryx_u64(&x143, &x144, 0x0, x142, x139);
uint64_t x145;
fiat_secp256k1_uint1 x146;
fiat_secp256k1_addcarryx_u64(&x145, &x146, x144, x140, x137);
uint64_t x147;
fiat_secp256k1_uint1 x148;
fiat_secp256k1_addcarryx_u64(&x147, &x148, x146, x138, x135);
uint64_t x149;
fiat_secp256k1_uint1 x150;
fiat_secp256k1_addcarryx_u64(&x149, &x150, x148, x136, 0x0);
uint64_t x151;
fiat_secp256k1_uint1 x152;
fiat_secp256k1_addcarryx_u64(&x151, &x152, 0x0, x123, x141);
uint64_t x153;
fiat_secp256k1_uint1 x154;
fiat_secp256k1_addcarryx_u64(&x153, &x154, x152, x125, x143);
uint64_t x155;
fiat_secp256k1_uint1 x156;
fiat_secp256k1_addcarryx_u64(&x155, &x156, x154, x127, x145);
uint64_t x157;
fiat_secp256k1_uint1 x158;
fiat_secp256k1_addcarryx_u64(&x157, &x158, x156, x129, x147);
uint64_t x159;
fiat_secp256k1_uint1 x160;
fiat_secp256k1_addcarryx_u64(&x159, &x160, x158, x131, x149);
uint64_t x161;
fiat_secp256k1_uint1 x162;
fiat_secp256k1_addcarryx_u64(&x161, &x162, x160, x132, 0x0);
uint64_t x163;
uint64_t x164;
fiat_secp256k1_mulx_u64(&x163, &x164, x3, (arg1[3]));
uint64_t x165;
uint64_t x166;
fiat_secp256k1_mulx_u64(&x165, &x166, x3, (arg1[2]));
uint64_t x167;
uint64_t x168;
fiat_secp256k1_mulx_u64(&x167, &x168, x3, (arg1[1]));
uint64_t x169;
uint64_t x170;
fiat_secp256k1_mulx_u64(&x169, &x170, x3, (arg1[0]));
uint64_t x171;
fiat_secp256k1_uint1 x172;
fiat_secp256k1_addcarryx_u64(&x171, &x172, 0x0, x170, x167);
uint64_t x173;
fiat_secp256k1_uint1 x174;
fiat_secp256k1_addcarryx_u64(&x173, &x174, x172, x168, x165);
uint64_t x175;
fiat_secp256k1_uint1 x176;
fiat_secp256k1_addcarryx_u64(&x175, &x176, x174, x166, x163);
uint64_t x177;
fiat_secp256k1_uint1 x178;
fiat_secp256k1_addcarryx_u64(&x177, &x178, x176, x164, 0x0);
uint64_t x179;
fiat_secp256k1_uint1 x180;
fiat_secp256k1_addcarryx_u64(&x179, &x180, 0x0, x153, x169);
uint64_t x181;
fiat_secp256k1_uint1 x182;
fiat_secp256k1_addcarryx_u64(&x181, &x182, x180, x155, x171);
uint64_t x183;
fiat_secp256k1_uint1 x184;
fiat_secp256k1_addcarryx_u64(&x183, &x184, x182, x157, x173);
uint64_t x185;
fiat_secp256k1_uint1 x186;
fiat_secp256k1_addcarryx_u64(&x185, &x186, x184, x159, x175);
uint64_t x187;
fiat_secp256k1_uint1 x188;
fiat_secp256k1_addcarryx_u64(&x187, &x188, x186, x161, x177);
uint64_t x189;
uint64_t x190;
fiat_secp256k1_mulx_u64(&x189, &x190, x179, UINT64_C(0xd838091dd2253531));
uint64_t x191;
uint64_t x192;
fiat_secp256k1_mulx_u64(&x191, &x192, x189, UINT64_C(0xffffffffffffffff));
uint64_t x193;
uint64_t x194;
fiat_secp256k1_mulx_u64(&x193, &x194, x189, UINT64_C(0xffffffffffffffff));
uint64_t x195;
uint64_t x196;
fiat_secp256k1_mulx_u64(&x195, &x196, x189, UINT64_C(0xffffffffffffffff));
uint64_t x197;
uint64_t x198;
fiat_secp256k1_mulx_u64(&x197, &x198, x189, UINT64_C(0xfffffffefffffc2f));
uint64_t x199;
fiat_secp256k1_uint1 x200;
fiat_secp256k1_addcarryx_u64(&x199, &x200, 0x0, x198, x195);
uint64_t x201;
fiat_secp256k1_uint1 x202;
fiat_secp256k1_addcarryx_u64(&x201, &x202, x200, x196, x193);
uint64_t x203;
fiat_secp256k1_uint1 x204;
fiat_secp256k1_addcarryx_u64(&x203, &x204, x202, x194, x191);
uint64_t x205;
fiat_secp256k1_uint1 x206;
fiat_secp256k1_addcarryx_u64(&x205, &x206, x204, x192, 0x0);
uint64_t x207;
fiat_secp256k1_uint1 x208;
fiat_secp256k1_addcarryx_u64(&x207, &x208, 0x0, x179, x197);
uint64_t x209;
fiat_secp256k1_uint1 x210;
fiat_secp256k1_addcarryx_u64(&x209, &x210, x208, x181, x199);
uint64_t x211;
fiat_secp256k1_uint1 x212;
fiat_secp256k1_addcarryx_u64(&x211, &x212, x210, x183, x201);
uint64_t x213;
fiat_secp256k1_uint1 x214;
fiat_secp256k1_addcarryx_u64(&x213, &x214, x212, x185, x203);
uint64_t x215;
fiat_secp256k1_uint1 x216;
fiat_secp256k1_addcarryx_u64(&x215, &x216, x214, x187, x205);
uint64_t x217;
fiat_secp256k1_uint1 x218;
fiat_secp256k1_addcarryx_u64(&x217, &x218, x216, x188, 0x0);
uint64_t x219;
fiat_secp256k1_uint1 x220;
fiat_secp256k1_subborrowx_u64(&x219, &x220, 0x0, x209, UINT64_C(0xfffffffefffffc2f));
uint64_t x221;
fiat_secp256k1_uint1 x222;
fiat_secp256k1_subborrowx_u64(&x221, &x222, x220, x211, UINT64_C(0xffffffffffffffff));
uint64_t x223;
fiat_secp256k1_uint1 x224;
fiat_secp256k1_subborrowx_u64(&x223, &x224, x222, x213, UINT64_C(0xffffffffffffffff));
uint64_t x225;
fiat_secp256k1_uint1 x226;
fiat_secp256k1_subborrowx_u64(&x225, &x226, x224, x215, UINT64_C(0xffffffffffffffff));
uint64_t x227;
fiat_secp256k1_uint1 x228;
fiat_secp256k1_subborrowx_u64(&x227, &x228, x226, x217, 0x0);
uint64_t x229;
fiat_secp256k1_cmovznz_u64(&x229, x228, x219, x209);
uint64_t x230;
fiat_secp256k1_cmovznz_u64(&x230, x228, x221, x211);
uint64_t x231;
fiat_secp256k1_cmovznz_u64(&x231, x228, x223, x213);
uint64_t x232;
fiat_secp256k1_cmovznz_u64(&x232, x228, x225, x215);
out1[0] = x229;
out1[1] = x230;
out1[2] = x231;
out1[3] = x232;
}
/*
* The function fiat_secp256k1_add adds two field elements in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_add(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
uint64_t x1;
fiat_secp256k1_uint1 x2;
fiat_secp256k1_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
uint64_t x3;
fiat_secp256k1_uint1 x4;
fiat_secp256k1_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
uint64_t x5;
fiat_secp256k1_uint1 x6;
fiat_secp256k1_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
uint64_t x7;
fiat_secp256k1_uint1 x8;
fiat_secp256k1_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
uint64_t x9;
fiat_secp256k1_uint1 x10;
fiat_secp256k1_subborrowx_u64(&x9, &x10, 0x0, x1, UINT64_C(0xfffffffefffffc2f));
uint64_t x11;
fiat_secp256k1_uint1 x12;
fiat_secp256k1_subborrowx_u64(&x11, &x12, x10, x3, UINT64_C(0xffffffffffffffff));
uint64_t x13;
fiat_secp256k1_uint1 x14;
fiat_secp256k1_subborrowx_u64(&x13, &x14, x12, x5, UINT64_C(0xffffffffffffffff));
uint64_t x15;
fiat_secp256k1_uint1 x16;
fiat_secp256k1_subborrowx_u64(&x15, &x16, x14, x7, UINT64_C(0xffffffffffffffff));
uint64_t x17;
fiat_secp256k1_uint1 x18;
fiat_secp256k1_subborrowx_u64(&x17, &x18, x16, x8, 0x0);
uint64_t x19;
fiat_secp256k1_cmovznz_u64(&x19, x18, x9, x1);
uint64_t x20;
fiat_secp256k1_cmovznz_u64(&x20, x18, x11, x3);
uint64_t x21;
fiat_secp256k1_cmovznz_u64(&x21, x18, x13, x5);
uint64_t x22;
fiat_secp256k1_cmovznz_u64(&x22, x18, x15, x7);
out1[0] = x19;
out1[1] = x20;
out1[2] = x21;
out1[3] = x22;
}
/*
* The function fiat_secp256k1_sub subtracts two field elements in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_sub(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
uint64_t x1;
fiat_secp256k1_uint1 x2;
fiat_secp256k1_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
uint64_t x3;
fiat_secp256k1_uint1 x4;
fiat_secp256k1_subborrowx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
uint64_t x5;
fiat_secp256k1_uint1 x6;
fiat_secp256k1_subborrowx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
uint64_t x7;
fiat_secp256k1_uint1 x8;
fiat_secp256k1_subborrowx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
uint64_t x9;
fiat_secp256k1_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
uint64_t x10;
fiat_secp256k1_uint1 x11;
fiat_secp256k1_addcarryx_u64(&x10, &x11, 0x0, x1, (x9 & UINT64_C(0xfffffffefffffc2f)));
uint64_t x12;
fiat_secp256k1_uint1 x13;
fiat_secp256k1_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT64_C(0xffffffffffffffff)));
uint64_t x14;
fiat_secp256k1_uint1 x15;
fiat_secp256k1_addcarryx_u64(&x14, &x15, x13, x5, (x9 & UINT64_C(0xffffffffffffffff)));
uint64_t x16;
fiat_secp256k1_uint1 x17;
fiat_secp256k1_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffffffffffff)));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* The function fiat_secp256k1_opp negates a field element in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_opp(uint64_t out1[4], const uint64_t arg1[4]) {
uint64_t x1;
fiat_secp256k1_uint1 x2;
fiat_secp256k1_subborrowx_u64(&x1, &x2, 0x0, 0x0, (arg1[0]));
uint64_t x3;
fiat_secp256k1_uint1 x4;
fiat_secp256k1_subborrowx_u64(&x3, &x4, x2, 0x0, (arg1[1]));
uint64_t x5;
fiat_secp256k1_uint1 x6;
fiat_secp256k1_subborrowx_u64(&x5, &x6, x4, 0x0, (arg1[2]));
uint64_t x7;
fiat_secp256k1_uint1 x8;
fiat_secp256k1_subborrowx_u64(&x7, &x8, x6, 0x0, (arg1[3]));
uint64_t x9;
fiat_secp256k1_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
uint64_t x10;
fiat_secp256k1_uint1 x11;
fiat_secp256k1_addcarryx_u64(&x10, &x11, 0x0, x1, (x9 & UINT64_C(0xfffffffefffffc2f)));
uint64_t x12;
fiat_secp256k1_uint1 x13;
fiat_secp256k1_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT64_C(0xffffffffffffffff)));
uint64_t x14;
fiat_secp256k1_uint1 x15;
fiat_secp256k1_addcarryx_u64(&x14, &x15, x13, x5, (x9 & UINT64_C(0xffffffffffffffff)));
uint64_t x16;
fiat_secp256k1_uint1 x17;
fiat_secp256k1_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffffffffffff)));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* The function fiat_secp256k1_from_montgomery translates a field element out of the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_from_montgomery(uint64_t out1[4], const uint64_t arg1[4]) {
uint64_t x1 = (arg1[0]);
uint64_t x2;
uint64_t x3;
fiat_secp256k1_mulx_u64(&x2, &x3, x1, UINT64_C(0xd838091dd2253531));
uint64_t x4;
uint64_t x5;
fiat_secp256k1_mulx_u64(&x4, &x5, x2, UINT64_C(0xffffffffffffffff));
uint64_t x6;
uint64_t x7;
fiat_secp256k1_mulx_u64(&x6, &x7, x2, UINT64_C(0xffffffffffffffff));
uint64_t x8;
uint64_t x9;
fiat_secp256k1_mulx_u64(&x8, &x9, x2, UINT64_C(0xffffffffffffffff));
uint64_t x10;
uint64_t x11;
fiat_secp256k1_mulx_u64(&x10, &x11, x2, UINT64_C(0xfffffffefffffc2f));
uint64_t x12;
fiat_secp256k1_uint1 x13;
fiat_secp256k1_addcarryx_u64(&x12, &x13, 0x0, x11, x8);
uint64_t x14;
fiat_secp256k1_uint1 x15;
fiat_secp256k1_addcarryx_u64(&x14, &x15, x13, x9, x6);
uint64_t x16;
fiat_secp256k1_uint1 x17;
fiat_secp256k1_addcarryx_u64(&x16, &x17, x15, x7, x4);
uint64_t x18;
fiat_secp256k1_uint1 x19;
fiat_secp256k1_addcarryx_u64(&x18, &x19, 0x0, x1, x10);
uint64_t x20;
fiat_secp256k1_uint1 x21;
fiat_secp256k1_addcarryx_u64(&x20, &x21, x19, 0x0, x12);
uint64_t x22;
fiat_secp256k1_uint1 x23;
fiat_secp256k1_addcarryx_u64(&x22, &x23, x21, 0x0, x14);
uint64_t x24;
fiat_secp256k1_uint1 x25;
fiat_secp256k1_addcarryx_u64(&x24, &x25, x23, 0x0, x16);
uint64_t x26;
fiat_secp256k1_uint1 x27;
fiat_secp256k1_addcarryx_u64(&x26, &x27, x17, x5, 0x0);
uint64_t x28;
fiat_secp256k1_uint1 x29;
fiat_secp256k1_addcarryx_u64(&x28, &x29, x25, 0x0, x26);
uint64_t x30;
fiat_secp256k1_uint1 x31;
fiat_secp256k1_addcarryx_u64(&x30, &x31, 0x0, x20, (arg1[1]));
uint64_t x32;
fiat_secp256k1_uint1 x33;
fiat_secp256k1_addcarryx_u64(&x32, &x33, x31, x22, 0x0);
uint64_t x34;
fiat_secp256k1_uint1 x35;
fiat_secp256k1_addcarryx_u64(&x34, &x35, x33, x24, 0x0);
uint64_t x36;
fiat_secp256k1_uint1 x37;
fiat_secp256k1_addcarryx_u64(&x36, &x37, x35, x28, 0x0);
uint64_t x38;
uint64_t x39;
fiat_secp256k1_mulx_u64(&x38, &x39, x30, UINT64_C(0xd838091dd2253531));
uint64_t x40;
uint64_t x41;
fiat_secp256k1_mulx_u64(&x40, &x41, x38, UINT64_C(0xffffffffffffffff));
uint64_t x42;
uint64_t x43;
fiat_secp256k1_mulx_u64(&x42, &x43, x38, UINT64_C(0xffffffffffffffff));
uint64_t x44;
uint64_t x45;
fiat_secp256k1_mulx_u64(&x44, &x45, x38, UINT64_C(0xffffffffffffffff));
uint64_t x46;
uint64_t x47;
fiat_secp256k1_mulx_u64(&x46, &x47, x38, UINT64_C(0xfffffffefffffc2f));
uint64_t x48;
fiat_secp256k1_uint1 x49;
fiat_secp256k1_addcarryx_u64(&x48, &x49, 0x0, x47, x44);
uint64_t x50;
fiat_secp256k1_uint1 x51;
fiat_secp256k1_addcarryx_u64(&x50, &x51, x49, x45, x42);
uint64_t x52;
fiat_secp256k1_uint1 x53;
fiat_secp256k1_addcarryx_u64(&x52, &x53, x51, x43, x40);
uint64_t x54;
fiat_secp256k1_uint1 x55;
fiat_secp256k1_addcarryx_u64(&x54, &x55, 0x0, x30, x46);
uint64_t x56;
fiat_secp256k1_uint1 x57;
fiat_secp256k1_addcarryx_u64(&x56, &x57, x55, x32, x48);
uint64_t x58;
fiat_secp256k1_uint1 x59;
fiat_secp256k1_addcarryx_u64(&x58, &x59, x57, x34, x50);
uint64_t x60;
fiat_secp256k1_uint1 x61;
fiat_secp256k1_addcarryx_u64(&x60, &x61, x59, x36, x52);
uint64_t x62;
fiat_secp256k1_uint1 x63;
fiat_secp256k1_addcarryx_u64(&x62, &x63, x53, x41, 0x0);
uint64_t x64;
fiat_secp256k1_uint1 x65;
fiat_secp256k1_addcarryx_u64(&x64, &x65, x29, 0x0, 0x0);
uint64_t x66;
fiat_secp256k1_uint1 x67;
fiat_secp256k1_addcarryx_u64(&x66, &x67, x37, (fiat_secp256k1_uint1)x64, 0x0);
uint64_t x68;
fiat_secp256k1_uint1 x69;
fiat_secp256k1_addcarryx_u64(&x68, &x69, x61, x66, x62);
uint64_t x70;
fiat_secp256k1_uint1 x71;
fiat_secp256k1_addcarryx_u64(&x70, &x71, 0x0, x56, (arg1[2]));
uint64_t x72;
fiat_secp256k1_uint1 x73;
fiat_secp256k1_addcarryx_u64(&x72, &x73, x71, x58, 0x0);
uint64_t x74;
fiat_secp256k1_uint1 x75;
fiat_secp256k1_addcarryx_u64(&x74, &x75, x73, x60, 0x0);
uint64_t x76;
fiat_secp256k1_uint1 x77;
fiat_secp256k1_addcarryx_u64(&x76, &x77, x75, x68, 0x0);
uint64_t x78;
uint64_t x79;
fiat_secp256k1_mulx_u64(&x78, &x79, x70, UINT64_C(0xd838091dd2253531));
uint64_t x80;
uint64_t x81;
fiat_secp256k1_mulx_u64(&x80, &x81, x78, UINT64_C(0xffffffffffffffff));
uint64_t x82;
uint64_t x83;
fiat_secp256k1_mulx_u64(&x82, &x83, x78, UINT64_C(0xffffffffffffffff));
uint64_t x84;
uint64_t x85;
fiat_secp256k1_mulx_u64(&x84, &x85, x78, UINT64_C(0xffffffffffffffff));
uint64_t x86;
uint64_t x87;
fiat_secp256k1_mulx_u64(&x86, &x87, x78, UINT64_C(0xfffffffefffffc2f));
uint64_t x88;
fiat_secp256k1_uint1 x89;
fiat_secp256k1_addcarryx_u64(&x88, &x89, 0x0, x87, x84);
uint64_t x90;
fiat_secp256k1_uint1 x91;
fiat_secp256k1_addcarryx_u64(&x90, &x91, x89, x85, x82);
uint64_t x92;
fiat_secp256k1_uint1 x93;
fiat_secp256k1_addcarryx_u64(&x92, &x93, x91, x83, x80);
uint64_t x94;
fiat_secp256k1_uint1 x95;
fiat_secp256k1_addcarryx_u64(&x94, &x95, 0x0, x70, x86);
uint64_t x96;
fiat_secp256k1_uint1 x97;
fiat_secp256k1_addcarryx_u64(&x96, &x97, x95, x72, x88);
uint64_t x98;
fiat_secp256k1_uint1 x99;
fiat_secp256k1_addcarryx_u64(&x98, &x99, x97, x74, x90);
uint64_t x100;
fiat_secp256k1_uint1 x101;
fiat_secp256k1_addcarryx_u64(&x100, &x101, x99, x76, x92);
uint64_t x102;
fiat_secp256k1_uint1 x103;
fiat_secp256k1_addcarryx_u64(&x102, &x103, x93, x81, 0x0);
uint64_t x104;
fiat_secp256k1_uint1 x105;
fiat_secp256k1_addcarryx_u64(&x104, &x105, x69, 0x0, 0x0);
uint64_t x106;
fiat_secp256k1_uint1 x107;
fiat_secp256k1_addcarryx_u64(&x106, &x107, x77, (fiat_secp256k1_uint1)x104, 0x0);
uint64_t x108;
fiat_secp256k1_uint1 x109;
fiat_secp256k1_addcarryx_u64(&x108, &x109, x101, x106, x102);
uint64_t x110;
fiat_secp256k1_uint1 x111;
fiat_secp256k1_addcarryx_u64(&x110, &x111, 0x0, x96, (arg1[3]));
uint64_t x112;
fiat_secp256k1_uint1 x113;
fiat_secp256k1_addcarryx_u64(&x112, &x113, x111, x98, 0x0);
uint64_t x114;
fiat_secp256k1_uint1 x115;
fiat_secp256k1_addcarryx_u64(&x114, &x115, x113, x100, 0x0);
uint64_t x116;
fiat_secp256k1_uint1 x117;
fiat_secp256k1_addcarryx_u64(&x116, &x117, x115, x108, 0x0);
uint64_t x118;
uint64_t x119;
fiat_secp256k1_mulx_u64(&x118, &x119, x110, UINT64_C(0xd838091dd2253531));
uint64_t x120;
uint64_t x121;
fiat_secp256k1_mulx_u64(&x120, &x121, x118, UINT64_C(0xffffffffffffffff));
uint64_t x122;
uint64_t x123;
fiat_secp256k1_mulx_u64(&x122, &x123, x118, UINT64_C(0xffffffffffffffff));
uint64_t x124;
uint64_t x125;
fiat_secp256k1_mulx_u64(&x124, &x125, x118, UINT64_C(0xffffffffffffffff));
uint64_t x126;
uint64_t x127;
fiat_secp256k1_mulx_u64(&x126, &x127, x118, UINT64_C(0xfffffffefffffc2f));
uint64_t x128;
fiat_secp256k1_uint1 x129;
fiat_secp256k1_addcarryx_u64(&x128, &x129, 0x0, x127, x124);
uint64_t x130;
fiat_secp256k1_uint1 x131;
fiat_secp256k1_addcarryx_u64(&x130, &x131, x129, x125, x122);
uint64_t x132;
fiat_secp256k1_uint1 x133;
fiat_secp256k1_addcarryx_u64(&x132, &x133, x131, x123, x120);
uint64_t x134;
fiat_secp256k1_uint1 x135;
fiat_secp256k1_addcarryx_u64(&x134, &x135, 0x0, x110, x126);
uint64_t x136;
fiat_secp256k1_uint1 x137;
fiat_secp256k1_addcarryx_u64(&x136, &x137, x135, x112, x128);
uint64_t x138;
fiat_secp256k1_uint1 x139;
fiat_secp256k1_addcarryx_u64(&x138, &x139, x137, x114, x130);
uint64_t x140;
fiat_secp256k1_uint1 x141;
fiat_secp256k1_addcarryx_u64(&x140, &x141, x139, x116, x132);
uint64_t x142;
fiat_secp256k1_uint1 x143;
fiat_secp256k1_addcarryx_u64(&x142, &x143, x133, x121, 0x0);
uint64_t x144;
fiat_secp256k1_uint1 x145;
fiat_secp256k1_addcarryx_u64(&x144, &x145, x109, 0x0, 0x0);
uint64_t x146;
fiat_secp256k1_uint1 x147;
fiat_secp256k1_addcarryx_u64(&x146, &x147, x117, (fiat_secp256k1_uint1)x144, 0x0);
uint64_t x148;
fiat_secp256k1_uint1 x149;
fiat_secp256k1_addcarryx_u64(&x148, &x149, x141, x146, x142);
uint64_t x150;
fiat_secp256k1_uint1 x151;
fiat_secp256k1_subborrowx_u64(&x150, &x151, 0x0, x136, UINT64_C(0xfffffffefffffc2f));
uint64_t x152;
fiat_secp256k1_uint1 x153;
fiat_secp256k1_subborrowx_u64(&x152, &x153, x151, x138, UINT64_C(0xffffffffffffffff));
uint64_t x154;
fiat_secp256k1_uint1 x155;
fiat_secp256k1_subborrowx_u64(&x154, &x155, x153, x140, UINT64_C(0xffffffffffffffff));
uint64_t x156;
fiat_secp256k1_uint1 x157;
fiat_secp256k1_subborrowx_u64(&x156, &x157, x155, x148, UINT64_C(0xffffffffffffffff));
uint64_t x158;
fiat_secp256k1_uint1 x159;
fiat_secp256k1_addcarryx_u64(&x158, &x159, x149, 0x0, 0x0);
uint64_t x160;
fiat_secp256k1_uint1 x161;
fiat_secp256k1_subborrowx_u64(&x160, &x161, x157, (fiat_secp256k1_uint1)x158, 0x0);
uint64_t x162;
fiat_secp256k1_cmovznz_u64(&x162, x161, x150, x136);
uint64_t x163;
fiat_secp256k1_cmovznz_u64(&x163, x161, x152, x138);
uint64_t x164;
fiat_secp256k1_cmovznz_u64(&x164, x161, x154, x140);
uint64_t x165;
fiat_secp256k1_cmovznz_u64(&x165, x161, x156, x148);
out1[0] = x162;
out1[1] = x163;
out1[2] = x164;
out1[3] = x165;
}
/*
* The function fiat_secp256k1_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
*/
static void fiat_secp256k1_nonzero(uint64_t* out1, const uint64_t arg1[4]) {
uint64_t x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | (uint64_t)0x0))));
*out1 = x1;
}
/*
* The function fiat_secp256k1_selectznz is a multi-limb conditional select.
* Postconditions:
* eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_selectznz(uint64_t out1[4], fiat_secp256k1_uint1 arg1, const uint64_t arg2[4], const uint64_t arg3[4]) {
uint64_t x1;
fiat_secp256k1_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
uint64_t x2;
fiat_secp256k1_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
uint64_t x3;
fiat_secp256k1_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
uint64_t x4;
fiat_secp256k1_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
}
/*
* The function fiat_secp256k1_to_bytes serializes a field element in the Montgomery domain to bytes in little-endian order.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
*/
static void fiat_secp256k1_to_bytes(uint8_t out1[32], const uint64_t arg1[4]) {
uint64_t x1 = (arg1[3]);
uint64_t x2 = (arg1[2]);
uint64_t x3 = (arg1[1]);
uint64_t x4 = (arg1[0]);
uint64_t x5 = (x4 >> 8);
uint8_t x6 = (uint8_t)(x4 & UINT8_C(0xff));
uint64_t x7 = (x5 >> 8);
uint8_t x8 = (uint8_t)(x5 & UINT8_C(0xff));
uint64_t x9 = (x7 >> 8);
uint8_t x10 = (uint8_t)(x7 & UINT8_C(0xff));
uint64_t x11 = (x9 >> 8);
uint8_t x12 = (uint8_t)(x9 & UINT8_C(0xff));
uint64_t x13 = (x11 >> 8);
uint8_t x14 = (uint8_t)(x11 & UINT8_C(0xff));
uint64_t x15 = (x13 >> 8);
uint8_t x16 = (uint8_t)(x13 & UINT8_C(0xff));
uint8_t x17 = (uint8_t)(x15 >> 8);
uint8_t x18 = (uint8_t)(x15 & UINT8_C(0xff));
uint8_t x19 = (uint8_t)(x17 & UINT8_C(0xff));
uint64_t x20 = (x3 >> 8);
uint8_t x21 = (uint8_t)(x3 & UINT8_C(0xff));
uint64_t x22 = (x20 >> 8);
uint8_t x23 = (uint8_t)(x20 & UINT8_C(0xff));
uint64_t x24 = (x22 >> 8);
uint8_t x25 = (uint8_t)(x22 & UINT8_C(0xff));
uint64_t x26 = (x24 >> 8);
uint8_t x27 = (uint8_t)(x24 & UINT8_C(0xff));
uint64_t x28 = (x26 >> 8);
uint8_t x29 = (uint8_t)(x26 & UINT8_C(0xff));
uint64_t x30 = (x28 >> 8);
uint8_t x31 = (uint8_t)(x28 & UINT8_C(0xff));
uint8_t x32 = (uint8_t)(x30 >> 8);
uint8_t x33 = (uint8_t)(x30 & UINT8_C(0xff));
uint8_t x34 = (uint8_t)(x32 & UINT8_C(0xff));
uint64_t x35 = (x2 >> 8);
uint8_t x36 = (uint8_t)(x2 & UINT8_C(0xff));
uint64_t x37 = (x35 >> 8);
uint8_t x38 = (uint8_t)(x35 & UINT8_C(0xff));
uint64_t x39 = (x37 >> 8);
uint8_t x40 = (uint8_t)(x37 & UINT8_C(0xff));
uint64_t x41 = (x39 >> 8);
uint8_t x42 = (uint8_t)(x39 & UINT8_C(0xff));
uint64_t x43 = (x41 >> 8);
uint8_t x44 = (uint8_t)(x41 & UINT8_C(0xff));
uint64_t x45 = (x43 >> 8);
uint8_t x46 = (uint8_t)(x43 & UINT8_C(0xff));
uint8_t x47 = (uint8_t)(x45 >> 8);
uint8_t x48 = (uint8_t)(x45 & UINT8_C(0xff));
uint8_t x49 = (uint8_t)(x47 & UINT8_C(0xff));
uint64_t x50 = (x1 >> 8);
uint8_t x51 = (uint8_t)(x1 & UINT8_C(0xff));
uint64_t x52 = (x50 >> 8);
uint8_t x53 = (uint8_t)(x50 & UINT8_C(0xff));
uint64_t x54 = (x52 >> 8);
uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff));
uint64_t x56 = (x54 >> 8);
uint8_t x57 = (uint8_t)(x54 & UINT8_C(0xff));
uint64_t x58 = (x56 >> 8);
uint8_t x59 = (uint8_t)(x56 & UINT8_C(0xff));
uint64_t x60 = (x58 >> 8);
uint8_t x61 = (uint8_t)(x58 & UINT8_C(0xff));
uint8_t x62 = (uint8_t)(x60 >> 8);
uint8_t x63 = (uint8_t)(x60 & UINT8_C(0xff));
out1[0] = x6;
out1[1] = x8;
out1[2] = x10;
out1[3] = x12;
out1[4] = x14;
out1[5] = x16;
out1[6] = x18;
out1[7] = x19;
out1[8] = x21;
out1[9] = x23;
out1[10] = x25;
out1[11] = x27;
out1[12] = x29;
out1[13] = x31;
out1[14] = x33;
out1[15] = x34;
out1[16] = x36;
out1[17] = x38;
out1[18] = x40;
out1[19] = x42;
out1[20] = x44;
out1[21] = x46;
out1[22] = x48;
out1[23] = x49;
out1[24] = x51;
out1[25] = x53;
out1[26] = x55;
out1[27] = x57;
out1[28] = x59;
out1[29] = x61;
out1[30] = x63;
out1[31] = x62;
}
/*
* The function fiat_secp256k1_from_bytes deserializes a field element in the Montgomery domain from bytes in little-endian order.
* Preconditions:
* 0 ≤ bytes_eval arg1 < m
* Postconditions:
* eval out1 mod m = bytes_eval arg1 mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_secp256k1_from_bytes(uint64_t out1[4], const uint8_t arg1[32]) {
uint64_t x1 = ((uint64_t)(arg1[31]) << 56);
uint64_t x2 = ((uint64_t)(arg1[30]) << 48);
uint64_t x3 = ((uint64_t)(arg1[29]) << 40);
uint64_t x4 = ((uint64_t)(arg1[28]) << 32);
uint64_t x5 = ((uint64_t)(arg1[27]) << 24);
uint64_t x6 = ((uint64_t)(arg1[26]) << 16);
uint64_t x7 = ((uint64_t)(arg1[25]) << 8);
uint8_t x8 = (arg1[24]);
uint64_t x9 = ((uint64_t)(arg1[23]) << 56);
uint64_t x10 = ((uint64_t)(arg1[22]) << 48);
uint64_t x11 = ((uint64_t)(arg1[21]) << 40);
uint64_t x12 = ((uint64_t)(arg1[20]) << 32);
uint64_t x13 = ((uint64_t)(arg1[19]) << 24);
uint64_t x14 = ((uint64_t)(arg1[18]) << 16);
uint64_t x15 = ((uint64_t)(arg1[17]) << 8);
uint8_t x16 = (arg1[16]);
uint64_t x17 = ((uint64_t)(arg1[15]) << 56);
uint64_t x18 = ((uint64_t)(arg1[14]) << 48);
uint64_t x19 = ((uint64_t)(arg1[13]) << 40);
uint64_t x20 = ((uint64_t)(arg1[12]) << 32);
uint64_t x21 = ((uint64_t)(arg1[11]) << 24);
uint64_t x22 = ((uint64_t)(arg1[10]) << 16);
uint64_t x23 = ((uint64_t)(arg1[9]) << 8);
uint8_t x24 = (arg1[8]);
uint64_t x25 = ((uint64_t)(arg1[7]) << 56);
uint64_t x26 = ((uint64_t)(arg1[6]) << 48);
uint64_t x27 = ((uint64_t)(arg1[5]) << 40);
uint64_t x28 = ((uint64_t)(arg1[4]) << 32);
uint64_t x29 = ((uint64_t)(arg1[3]) << 24);
uint64_t x30 = ((uint64_t)(arg1[2]) << 16);
uint64_t x31 = ((uint64_t)(arg1[1]) << 8);
uint8_t x32 = (arg1[0]);
uint64_t x33 = (x32 + (x31 + (x30 + (x29 + (x28 + (x27 + (x26 + x25)))))));
uint64_t x34 = (x33 & UINT64_C(0xffffffffffffffff));
uint64_t x35 = (x8 + (x7 + (x6 + (x5 + (x4 + (x3 + (x2 + x1)))))));
uint64_t x36 = (x16 + (x15 + (x14 + (x13 + (x12 + (x11 + (x10 + x9)))))));
uint64_t x37 = (x24 + (x23 + (x22 + (x21 + (x20 + (x19 + (x18 + x17)))))));
uint64_t x38 = (x37 & UINT64_C(0xffffffffffffffff));
uint64_t x39 = (x36 & UINT64_C(0xffffffffffffffff));
out1[0] = x34;
out1[1] = x38;
out1[2] = x39;
out1[3] = x35;
}
